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Finding the Third Proportional to 199,432,962 and 306,353,448

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Solution

The third proportional to 199,432,962 and 306,353,448 is: 470,596,405.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,432,962 : 306,353,448 = 306,353,448 : x
  2. Step 2: Convert to fraction form
    199,432,962/306,353,448 = 306,353,448/x
  3. Step 3: Cross multiply
    199,432,962x = 306,353,448 × 306,353,448
  4. Step 4: Simplify right side
    199,432,962x = 93,852,435,101,488,704
  5. Step 5: Solve for x
    x = 93,852,435,101,488,704/199,432,962
  6. Step 6: Final answer
    x = 470,596,405.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.